The Regular Price Of A Computer Is $x$ Dollars. Let $f(x) = X - 380$ And \$g(x) = 0.95x$[/tex\].a. Describe What The Functions $f$ And $g$ Model In Terms Of The Price Of The Computer.- The

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The Regular Price of a Computer: Understanding Functions f and g

In the world of mathematics, functions play a crucial role in modeling real-world scenarios. In this article, we will delve into the world of functions and explore how they can be used to model the price of a computer. We will examine two functions, f(x) and g(x), and describe what they represent in terms of the price of a computer.

The function f(x) is defined as f(x) = x - 380. To understand what this function represents, let's break it down. The function f(x) takes the price of the computer, x, and subtracts 380 from it. This means that f(x) represents the price of the computer after a discount of 380 dollars has been applied.

For example, if the original price of the computer is 1000 dollars, then f(1000) = 1000 - 380 = 620 dollars. This means that after a discount of 380 dollars, the price of the computer is 620 dollars.

The function g(x) is defined as g(x) = 0.95x. To understand what this function represents, let's break it down. The function g(x) takes the price of the computer, x, and multiplies it by 0.95. This means that g(x) represents the price of the computer after a discount of 5% has been applied.

For example, if the original price of the computer is 1000 dollars, then g(1000) = 0.95(1000) = 950 dollars. This means that after a discount of 5%, the price of the computer is 950 dollars.

Now that we have a good understanding of both functions, let's compare them. Function f(x) represents a discount of 380 dollars, while function g(x) represents a discount of 5%. In other words, function f(x) is a fixed discount, while function g(x) is a percentage discount.

To illustrate this, let's consider an example. Suppose the original price of the computer is 1000 dollars. If we apply a discount of 380 dollars, the price of the computer will be 620 dollars (f(1000) = 620). On the other hand, if we apply a discount of 5%, the price of the computer will be 950 dollars (g(1000) = 950).

Functions f and g have many real-world applications. For example, in the retail industry, discounts are often applied to products to make them more attractive to customers. By using functions f and g, retailers can easily calculate the price of a product after a discount has been applied.

In addition, functions f and g can be used in finance to calculate the value of an investment after a discount has been applied. For example, if an investor buys a stock for 1000 dollars and it is discounted by 5%, the value of the stock will be 950 dollars (g(1000) = 950).

In conclusion, functions f and g are two important functions that can be used to model the price of a computer. Function f(x) represents a fixed discount, while function g(x) represents a percentage discount. By understanding these functions, we can easily calculate the price of a product after a discount has been applied, making them useful tools in many real-world applications.

  • Function f(x) represents a fixed discount of 380 dollars.
  • Function g(x) represents a percentage discount of 5%.
  • Functions f and g can be used to model the price of a computer.
  • Functions f and g have many real-world applications, including retail and finance.

For further reading on functions and their applications, we recommend the following resources:

In our previous article, we explored the world of functions and examined two important functions, f(x) and g(x), that can be used to model the price of a computer. Function f(x) represents a fixed discount of 380 dollars, while function g(x) represents a percentage discount of 5%. In this article, we will answer some frequently asked questions about functions f and g to help you better understand their applications.

A: Function f(x) represents a fixed discount of 380 dollars, while function g(x) represents a percentage discount of 5%. This means that function f(x) will always subtract 380 dollars from the original price, while function g(x) will calculate the discount as a percentage of the original price.

A: To use function f(x) to calculate the price of a computer after a discount, simply substitute the original price of the computer into the function. For example, if the original price of the computer is 1000 dollars, then f(1000) = 1000 - 380 = 620 dollars.

A: To use function g(x) to calculate the price of a computer after a discount, simply substitute the original price of the computer into the function. For example, if the original price of the computer is 1000 dollars, then g(1000) = 0.95(1000) = 950 dollars.

A: Yes, functions f and g can be used to model other real-world scenarios. For example, you can use function f(x) to model a fixed discount on a product, while using function g(x) to model a percentage discount on a product.

A: To determine which function to use in a given scenario, you need to consider the type of discount being applied. If the discount is fixed, then use function f(x). If the discount is a percentage, then use function g(x).

A: Yes, you can combine functions f and g to model more complex scenarios. For example, you can use function f(x) to model a fixed discount and then apply function g(x) to model a percentage discount on top of the fixed discount.

A: Functions f and g have many real-world applications, including:

  • Retail: to calculate the price of a product after a discount
  • Finance: to calculate the value of an investment after a discount
  • Marketing: to calculate the price of a product after a discount to attract customers

In conclusion, functions f and g are two important functions that can be used to model the price of a computer. By understanding these functions, you can easily calculate the price of a product after a discount has been applied, making them useful tools in many real-world applications. We hope this Q&A article has helped you better understand functions f and g and their applications.

  • Function f(x) represents a fixed discount of 380 dollars.
  • Function g(x) represents a percentage discount of 5%.
  • Functions f and g can be used to model other real-world scenarios.
  • Functions f and g can be combined to model more complex scenarios.
  • Functions f and g have many real-world applications, including retail, finance, and marketing.

For further reading on functions and their applications, we recommend the following resources: